Answer:
4
Step-by-step explanation:
Equation 1
Equation 2
What is the value of
where each variable represents a real number?
Let's expand equation 1:


Simplify each term if can:

See if we can factor a little to get some of the left hand side of equation 2:
The first two terms have
and if I factored
from first two terms I would have
which is the first term of left hand side of equation 2.
So let's see what happens if we gather the terms together that have the same variable squared together.

Factor the variable squared terms out of each binomial pairing:

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

Combine like terms:

Subtract 6 on both sides:

Divide both sides by 3:

Answer:
h = 84
f = 132
g= 28
Step-by-step explanation:
h = 180 - 48 - 48 = 84
f = 180 - 48 = 132
g = 180 -132 - 20 = 28
The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
Learn more about Quadratic Equation from:
brainly.com/question/17177510
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Answer: Yes, because the amount of money you save for every beverage bought is constant, and if you buy 0 beverages, you’ll save $0. That means it the situation is graphed, the line produced will be linear and crosses through the origin, which are the requirements for a proportional relationship.
Answer:
degree 5, leading coefficient 1
Step-by-step explanation:
When the sign of the end behavior matches that of x, the leading coefficient is positive, and the degree is odd.
One possibility is ...
degree 5, leading coefficient 1